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Finding the Fourth Proportional to 21,148.32, 31,717.88 and 8,665.12

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Solution

The fourth proportional to 21,148.32, 31,717.88 and 8,665.12 is: 12,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.32 : 31,717.88 = 8,665.12 : x
  2. Step 2: Convert to fraction form
    21,148.32/31,717.88 = 8,665.12/x
  3. Step 3: Cross multiply
    21,148.32x = 31,717.88 × 8,665.12
  4. Step 4: Simplify right side
    21,148.32x = 274,839,236.35
  5. Step 5: Solve for x
    x = 274,839,236.35/21,148.32
  6. Step 6: Final answer
    x = 12,995.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.